$($a$)$ For DC analysis, simplify the network shown in the figure below. To get full credit, you must label all the resistors, dc voltage sources, grounds, three JFET terminals, currents $(I_D,I_S,I_G),$ and biasing voltage $V_{GS}.$

$($b$)$ Write down the equation of load line by using $KV\frac{L}{K}CL$ in the dc circuit. Sketch the load line and the transfer characteristics in the same coordinates with necessary labels. Mark the Q point $($you do not have to calculate the values$).$

$($c$)$ Draw the ac equivalent circuit of the network. To get full credit, you must label all the resistors, grounds, three D$-$MOSFET terminals $($please use lowercase letters$),$ D$-$MOSFET ac model, and input and output voltages.

$($d$)$ Based on the ac equivalent circuit, find out the input impedance $Z_i$ and output impedance $Z_o.$ You need to describe how you simplify the circuit and get the equivalent impedances.

$($e$)$ Calculate the voltage gain $A_v$ of this amplifier? To solve this problem, you need to first express both $V_i$ and $V_o$ in terms of $V_{gs}.$ Note: for parts $($d$)$ and $($e$),$ you will not get any points if you only show the final answer.

Problem $2(45\%)$

$($a$)$ For DC analysis, simplify the network shown in the figure below. To get full credit, you must label the resistors, dc voltage sources, ground, three EMOSFET terminals, currents $(I_D,I_S,I_G),$ and biasing voltage $V_{GS}.$

$($b$)$ Write down the equation of load line by using KVL$/$KCL in the dc circuit. Sketch the load line and the transfer characteristic in the same coordinates with necessary labels. Mark the Q point $($you do not have to calculate the values$).$

$($c$)$ Draw the ac equivalent circuit of the network. To get full credit, you must label the resistors, grounds, three E$-$MOSFET terminals $($please use lowercase letters$),$ E$-$MOSFET ac model, and input and output voltages.

$($d$)$ Based on the ac equivalent circuit, find out the input impedance $Z_i$ and output impedance $Z_o.$ You need to describe how you simplify the circuit and get the equivalent impedances.

$($a$)$ For DC analysis, simplify the network shown in the figure below. To get full credit, you must label all the resistors, dc voltage sources, grounds, three JFET terminals, currents $(I_D,I_S,I_G),$ and biasing voltage $V_{GS}.$

$($b$)$ Write down the equation of load line by using $KV\frac{L}{K}CL$ in the dc circuit. Sketch the load line and the transfer characteristics in the same coordinates with necessary labels. Mark the Q point $($you do not have to calculate the values$).$

$($c$)$ Draw the ac equivalent circuit of the network. To get full credit, you must label all the resistors, grounds, three D$-$MOSFET terminals $($please use lowercase letters$),$ D$-$MOSFET ac model, and input and output voltages.

$($d$)$ Based on the ac equivalent circuit, find out the input impedance $Z_i$ and output impedance $Z_o.$ You need to describe how you simplify the circuit and get the equivalent impedances.

$($a$)$ For DC analysis, simplify the network shown in the figure below. To get full credit, you must label all the resistors, dc voltage sources, grounds, three JFET terminals, currents $(I_D,I_S,I_G),$ and biasing voltage $V_{GS}.$

$($b$)$ Write down the equation of load line by using $KV\frac{L}{K}CL$ in the dc circuit. Sketch the load line and the transfer characteristics in the same coordinates with necessary labels. Mark the Q point $($you do not have to calculate the values$).$

$($c$)$ Draw the ac equivalent circuit of the network. To get full credit, you must label all the resistors, grounds, three D$-$MOSFET terminals $($please use lowercase letters$),$ D$-$MOSFET ac model, and input and output voltages.

$($d$)$ Based on the ac equivalent circuit, find out the input impedance $Z_i$ and output impedance $Z_o.$ You need to describe how you simplify the circuit and get the equivalent impedances.

$($e$)$ Calculate the voltage gain $A_v$ of this amplifier? To solve this problem, you need to first express both $V_i$ and $V_o$ in terms of $V_{gs}.$ Note: for parts $($d$)$ and $($e$),$ you will not get any points if you only show the final answer.

Problem $2(45\%)$

$($a$)$ For DC analysis, simplify the network shown in the figure below. To get full credit, you must label the resistor